Question

What is the range of the function y=3 square root x+8

Answer 1

Answer with explanation:

⇒Range of function in two variables ,that contains variables x,and y are those values of y, for which x is defined.

For example ,consider the linear function , y=x

the set of values that ,x can take for which y is defined called Domain of the function.x∈R

And, the set of values that ,y can take for which x is defined called Range of the function.y∈R

The given function is

$y=(x+8)^{\frac{1}{3}}$

Taking cube on both sides

$y^3=x+8\\\\x=y^3-8$

→x is defined for all real values of y ,means for all real values of y,we are getting real values of x.So Range of the given function is ,y∈R.

Option A:→ -∞≤y≤∞